2021 AGTM

Approximately how many acres are in a rectangular area of land with adjacent sides that measure 6.5 kilometers and 0.75 miles?

1 acre = 43,560 square feet 1 mile = 5,280 feet 1 foot = 0.3048 meter

Area of Rectangle = length x width 1000 meters = 1 kilometer

• 1938.7 acres

• 2447.6 acres

• 2954.5 acres

• 3384.4 acres

Electrical: A rectangular farm building is poorly insulated and is located in a zone of the U.S. that typically requires 50 BTUs per square-foot of floor area to adequately heat the interior. If the interior floor dimensions of the rectangular building are 25.5 feet by 12 yards and the model of furnace being purchased is 77% efficient, what is the approximate size of the furnace required? Use the following formula to calculate the approximate furnace size (room height is not utilized in calculation). Furnace output is rated in British Thermal Units (BTUs) 1yd = 3 ft Furnace Size in BTUs = Square footage of floor x number of BTUs recommended per square foot / Furnace Efficiency

• 40,000 BTUs

• 50,000 BTUs

• 60,000 BTUs

• 70,000 BTUs

Compact Equipment: During the repair of an engine, a pilot-hole must be drilled to accommodate a

3/8” tap that will cut threads (for a 3/8” bolt) in the wall of the pilot-hole. The tap table indicates that

the pilot-hole must have a 0.3125” diameter. All of the available twist drills have fractional rather

than decimal measurements. What size twist drill should be used to drill the pilot-hole?

• 5/16 inch

• 21/64 inch

• 12/32 inch

A small section of a tape measure with numerical values in inches is shown in the space below. The entire length of the tape measure is not shown. What length is indicated when measured from the end of the tape measure (not shown at the left of picture) to where the arrow touches the tape measure? Answer should be in feet, inches, and fractions of an inch.

• 1’ 3~3/4”

• 1’ 4~5/16”

• 1’ 4~11/16”

• 1’ 6~7/8”

A rectangular shaped metal container with a lid is used to transport bulk livestock

feed. This container is transported on a trailer with tandem axles and each axle has a 3500-pound

load carrying capacity. The total weight of the trailer and the empty container is 970 pounds. The

internal dimensions of the hopper are 5.25 feet wide, 8.5 feet long, and 3 feet deep. When the feed container is completely filled, what is the maximum weight in pounds per cubic foot (approximate value) of the bulk feed if the load is to be transported on the trailer within the load carrying limits of the axles?

1 cubic-foot = 1728 cubic-inches

Volume of rectangular prism = Length x Width x Height

• 25 lbs / ft³

• 35 lbs / ft³

• 40 lbs / ft³

• 45 lbs / ft³

If a center pivot irrigation system is 1320 feet long (has a 2640-foot diameter), approximately how many acres can be irrigated under 300 degrees of the pivot's travel?

Area of a circle = (π)  (radius)2 π = 3.14 diameter = 2  radius

1 acre = 43,560 square feet 1 mile = 5,280 feet Complete circle = 360 degrees

• 82.6 acres

• 104.7 acres

• 125.8 acres

• 156.9 acres

Machinery: Each cylinder in an eight cylinder tractor engine has a bore (diameter) of 5.65 inches and a piston stroke of 7.63 inches. What is the approximate total displacement of this engine in liters?

Area of a cylinder bore = (π) (radius)^2 π = 3.14 radius = (diameter ÷ 2) Volumetric displacement of a single cylinder = (length of piston stroke) x (the area of the cylinder bore) 1 liter = 61 cubic inches 1 cubic inch = 0.0164 liter

• 15 liters

• 20 liters

• 25 liters

• 30 liters

Electrical: The interior electrical lighting of a farm structure is being replaced with high efficiency LED lighting. There are 48 incandescent, 100-Watt lights that will be replaced with 30 LED, 45-Watt lights. The lights are operated 6 hours each day and 22 days each month. If electricity cost 13.15 cents per kilowatt-hour (kWh), what is the approximate reduction in electrical power costs during one year of operation? 1000 Watts = 1 kilowatt 12 months = 1 year

• $ 684.82

• $ 718.62

• $ 831.42

• $ 964.22

Compact Equipment: Which of the following has the greatest weight in pounds: 1.59 gallons of gasoline, 1.45 gallons of diesel, 1.36 gallons of 15W-40 engine oil, or 1.37 gallons of automatic transmission fluid? 1 gallon of gasoline = 6.3 pounds 1 gallon of diesel = 6.943 pounds 1 gallon 15W-40 engine oil = 7.3 pounds 1 gallon automatic transmission fluid = 7.298 pounds

• gasoline

• diesel

• 15W-40 engine oil

• automatic transmission fluid

Structural: Which of the following quantities of lumber has the smallest number of board-feet?

• 6 boards measuring 2 inches by 6 inches by 16 feet

• 5 boards measuring 2 inch by 8 inches by 14 feet

• 9 boards measuring 1 inch by 10 inches by 12 feet

• 11 boards measuring 1 inch by 10 inches by 10 feet